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Math Help - Solve for all values of x

  1. #1
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    Solve for all values of x

    sin^2(x)=sinx

    How would I go about answering this?
    Would it work if I substitute x?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Jd09 View Post
    sin^2(x)=sinx

    How would I go about answering this?
    Would it work if I substitute x?
    this is a quadratic in \sin x. to see this, let a = \sin x, then you have

    a^2 = a

    \Rightarrow a^2 - a = 0

    now what?
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  3. #3
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    I had done the same, using the 'm' as a variable but I am not sure where to go on to next.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Jd09 View Post
    I had done the same, using the 'm' as a variable but I am not sure where to go on to next.
    you should review algebra. at the very least, if you don't know what to do, apply the quadratic formula. in this case, it is overkill though

    m^2 - m = 0

    \Rightarrow m(m - 1) = 0

    \Rightarrow m = 0 \text{ or } m - 1 = 0
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